Sub-Riemannian geometry : general theory and examples / Ovidiu Calin, Der-chen Chang.

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Bibliographic Details
Uniform Title:Encyclopedia of mathematics and its applications ; v. 126.
Main Authors: Calin, Ovidiu
Chang, Der-chen E. (Author)
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2009.
Series:Encyclopedia of mathematics and its applications ; v. 126.
Subjects:
Geometry, Riemannian.
Riemannian manifolds.
Geodesics (Mathematics)
Submanifolds.
Physical Description:xiii, 370 pages : illustrations ; 24 cm.
Format: Book
Contents:
  • Introductory chapter
  • Basic properties
  • Horizontal connectivity
  • Hamilton-Jacobi theory
  • The Hamiltonian formalism
  • Lagrangian formalism
  • Connections on Sub-Riemannian manifolds
  • Gauss' theory of Sub-Riemannian manifolds
  • Heisenberg manifolds
  • Examples of Heisenberg manifolds
  • Grushin manifolds
  • Hörmander manifolds
  • Appendices. Local nonsolvability ; Fiber bundles.